Search Results for author: Debasish Chatterjee

Found 11 papers, 0 papers with code

Algorithmic construction of Lyapunov functions for continuous vector fields via convex semi-infinite programs

no code implementations24 Jul 2023 Raavi Gupta, Sameep Chattopadhyay, Pradyumna Paruchuri, Debasish Chatterjee

This article presents a novel numerically tractable technique for synthesizing Lyapunov functions for equilibria of nonlinear vector fields.

A numerical algorithm for attaining the Chebyshev bound in optimal learning

no code implementations3 Jul 2023 Pradyumna Paruchuri, Debasish Chatterjee

For a hypothesis space realized as a compact but not necessarily convex subset of a finite-dimensional subspace of some underlying Banach space, this algorithm computes the Chebyshev radius and the Chebyshev center of the hypothesis space, thereby solving the problem of optimal recovery of functions from data.

Cross apprenticeship learning framework: Properties and solution approaches

no code implementations6 Sep 2022 Ashwin Aravind, Debasish Chatterjee, Ashish Cherukuri

Apprenticeship learning is a framework in which an agent learns a policy to perform a given task in an environment using example trajectories provided by an expert.

Implicit Function Theorem: Estimates on the size of the domain

no code implementations25 May 2022 Ashutosh Jindal, Debasish Chatterjee, Ravi Banavar

In this article, we present explicit estimates of the size of the domain on which the Implicit Function Theorem and the Inverse Function Theorem are valid.

Numerical Integration valid

Novel min-max reformulations of Linear Inverse Problems

no code implementations5 Jul 2020 Mohammed Rayyan Sheriff, Debasish Chatterjee

In this article, we dwell into the class of so-called ill-posed Linear Inverse Problems (LIP) which simply refers to the task of recovering the entire signal from its relatively few random linear measurements.

Dictionary Learning Recommendation Systems

Reference tracking stochastic model predictive control over unreliable channels and bounded control actions

no code implementations8 Jun 2020 Prabhat K. Mishra, Sanket S. Diwale, Colin N. Jones, Debasish Chatterjee

A stochastic model predictive control framework over unreliable Bernoulli communication channels, in the presence of unbounded process noise and under bounded control inputs, is presented for tracking a reference signal.

Optimization and Control

Dictionary Learning with Almost Sure Error Constraints

no code implementations19 Oct 2019 Mohammed Rayyan Sheriff, Debasish Chatterjee

A dictionary is a database of standard vectors, so that other vectors / signals are expressed as linear combinations of dictionary vectors, and the task of learning a dictionary for a given data is to find a good dictionary so that the representation of data points has desirable features.

Dictionary Learning

On Convex Duality in Linear Inverse Problems

no code implementations16 Aug 2019 Mohammed Rayyan Sheriff, Debasish Chatterjee

In this article we dwell into the class of so called ill posed Linear Inverse Problems (LIP) in machine learning, which has become almost a classic in recent times.

Denoising Dictionary Learning +1

Scenario approach for minmax optimization with emphasis on the nonconvex case: positive results and caveats

no code implementations4 Jun 2019 Mishal Assif P K, Debasish Chatterjee, Ravi Banavar

Moreover, we perform a detailed study of both the asymptotic behaviour (consistency) and finite time behaviour of the scenario approach in the more general setting of nonconvex minmax optimization problems.

A complete characterization of optimal dictionaries for least squares representation

no code implementations18 Oct 2017 Mohammed Rayyan Sheriff, Debasish Chatterjee

Dictionaries are collections of vectors used for representations of elements in Euclidean spaces.

Optimal dictionary for least squares representation

no code implementations7 Mar 2016 Mohammed Rayyan Sheriff, Debasish Chatterjee

Dictionaries are collections of vectors used for representations of random vectors in Euclidean spaces.

Cannot find the paper you are looking for? You can Submit a new open access paper.